Dramatis Personae and the Main Theorem

  • Mark Goresky
  • Robert MacPherson
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 14)


In this chapter the main objects of interest: local Morse data, normal Morse data, and tangential Morse data will be defined. The main theorems are stated in Sects. 3.7, 3.8, and 3.9.


Homotopy Type Morse Index Morse Theory Morse Function Deformation Retraction 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Mark Goresky
    • 1
  • Robert MacPherson
    • 2
  1. 1.Department of MathematicsNortheastern UniversityBostonUSA
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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